PubMed · 5328110
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M Irie. 1965. [Growth and development].. https://pubmed.ncbi.nlm.nih.gov/5328110/
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A level-set method, specifically conceived for the case of soft organic tissue growth from feeding solutions, is introduced and described in detail. The model can handle the morphological evolution of the organic specimen under the influence of external convection (fluid-dynamics of the bioreactor). The analogies and differences between this technique and a previous volume of fraction method are discussed pointing out advantages and limitations of both formulations.
In complex systems, responses to small perturbations are too diverse to definitely predict how much they would be, and then such diverse responses can be predicted in a probabilistic way. Here we study such a problem in scale-free networks, for example, the diameter changes by the deletion of a single vertex for various in silico and real-world scale-free networks. We find that the diameter changes are indeed diverse and their distribution exhibits an algebraic decay with an exponent zeta asymptotically. Interestingly, the exponent zeta is robust as zeta approximately 2.2(1) for most scale-free networks and insensitive to the degree exponents gamma as long as 2<gamma</=3. However, there is another type with zeta approximately 1.7(1) and its examples include the Internet and its related in silico model.